Statistical convergence of complex uncertain sequence of order $(\alpha, \beta)$

In this paper, the concept of asymptomatic density of order $(\alpha, \beta)$ (where $\alpha$, $\beta$ are real numbers such that $0 \alpha \beta \leq 1)$ has been used to introduce the concepts of statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences: the notions of statistical convergence in mean of order $(\alpha, \beta)$, statistical convergence in measure of order $(\alpha, \beta)$, statistical convergence in distribution of order $(\alpha, \beta)$, almost surely statistical convergence of order $(\alpha, \beta)$, uniformly almost surely statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences. Also, relationships among those introduced concepts have been studied.

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Publication Details

Journal
Annals of the University of Craiova Mathematics and Computer Science Series
Published
2025-06-20
DOI
https://doi.org/10.52846/ami.v52i1.1908
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Statistical convergence of complex uncertain sequence of order $(\alpha, \beta)$

Binod Chandra Tripathy, Dhiman Dutta, Gautam Sagar, Mausumi Sen
Annals of the University of Craiova Mathematics and Computer Science Series
Approximation Theory and Sequence Spaces
article

Statistical convergence of complex uncertain sequence of order $(\alpha, \beta)$

Binod Chandra Tripathy, Dhiman Dutta, Gautam Sagar, Mausumi Sen
article en

Abstract

In this paper, the concept of asymptomatic density of order $(\alpha, \beta)$ (where $\alpha$, $\beta$ are real numbers such that $0 \alpha \beta \leq 1)$ has been used to introduce the concepts of statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences: the notions of statistical convergence in mean of order $(\alpha, \beta)$, statistical convergence in measure of order $(\alpha, \beta)$, statistical convergence in distribution of order $(\alpha, \beta)$, almost surely statistical convergence of order $(\alpha, \beta)$, uniformly almost surely statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences. Also, relationships among those introduced concepts have been studied.

Annals of the University of Craiova Mathematics and Computer Science SeriesVol. 52(1)
National Institute Of Technology Silchar (IN), Tripura University (IN), Global University (LB)
Reduced inequalities
Openalex Percentile: Top 81%
Approximation Theory and Sequence Spaces
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